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86 lines
3.6 KiB
Matlab
86 lines
3.6 KiB
Matlab
% GET_IMG_INT_1 use FFT to integate the image along selected axis -> can be used for phase
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% unwrapping
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%
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% integer = get_img_int_1D(grad_array, ax)
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%
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% Inputs:
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% **grad_array - phase gradient
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% **ax - integration axis
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% *returns*
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% ++integral - 2D stack scalar arrays that has gradients along "ax" close to "grad_array"
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%*-----------------------------------------------------------------------*
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%| |
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%| Except where otherwise noted, this work is licensed under a |
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%| Creative Commons Attribution-NonCommercial-ShareAlike 4.0 |
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%| International (CC BY-NC-SA 4.0) license. |
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%| |
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%| Copyright (c) 2017 by Paul Scherrer Institute (http://www.psi.ch) |
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%| |
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%| Author: CXS group, PSI |
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%*-----------------------------------------------------------------------*
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% You may use this code with the following provisions:
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%
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% If the code is fully or partially redistributed, or rewritten in another
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% computing language this notice should be included in the redistribution.
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%
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% If this code, or subfunctions or parts of it, is used for research in a
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% publication or if it is fully or partially rewritten for another
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% computing language the authors and institution should be acknowledged
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% in written form in the publication: “Data processing was carried out
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% using the “cSAXS matlab package” developed by the CXS group,
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% Paul Scherrer Institut, Switzerland.”
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% Variations on the latter text can be incorporated upon discussion with
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% the CXS group if needed to more specifically reflect the use of the package
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% for the published work.
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%
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% A publication that focuses on describing features, or parameters, that
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% are already existing in the code should be first discussed with the
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% authors.
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%
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% This code and subroutines are part of a continuous development, they
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% are provided “as they are” without guarantees or liability on part
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% of PSI or the authors. It is the user responsibility to ensure its
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%
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function integer = get_img_int_1D(grad_array, ax)
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if nargin < 2
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ax = 1;
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end
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Np = size(grad_array);
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if ax == 2
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grad_array = fft(grad_array,[],2);
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xgrid = ifftshift(-fix(Np(2)/2):ceil(Np(2)/2)-1)/Np(2);
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% not sure why, but it seems to need also shift by 1 pixel to make it
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% consistent with gradient
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X = exp((2i*pi)*xgrid);
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% integration filter
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X = X./ (2i*pi*xgrid);
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X(1) = 0;
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integer = bsxfun(@times, grad_array,X);
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integer = ifft(integer,[],2);
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elseif ax == 1
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grad_array = fft(grad_array,[],1);
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ygrid = ifftshift(-fix(Np(1)/2):ceil(Np(1)/2)-1)/Np(1);
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% not sure why, but it seems to need also shift by 1 pixel to make it
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% consistent with gradient
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Y = exp((2i*pi)*ygrid');
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% integration filter
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Y = Y./(2i*pi*ygrid');
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Y(1) = 0;
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integer = bsxfun(@times, grad_array,Y);
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integer = ifft(integer,[],1);
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else
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error('Non implemented dimension')
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end
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end
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